Download presentation

Presentation is loading. Please wait.

Published byWarren Manning Modified over 8 years ago

1
Warm-up Find the surface area of the prism below. 3 cm

2
Warm-up Find the surface area of the prism below. 3 cm

3
**Lesson H: Surface Area of Cones & Spheres**

Objective: To find the surface area of a cone To find the surface area of a sphere

4
Sphere Cone

5
Slant Height the height of a lateral face of a cone Variable for slant height: l (cursive lowercase L) l

6
**Formulas: Lateral Area of a Cone: LA = rℓ**

ℓ: slant height of cone r: radius of circular base Lateral Area of a Cone: LA = rℓ Surface Area of a Cone: SA = r² + rℓ 1. Find the surface area of the cone in terms of 𝜋. SA = r² + rℓ SA = (6)² + (6)(18) SA = 36 + 108 SA = 144 cm2

7
**SA = 4πr² FORMULAS: Surface Area of a Sphere: SA = 4r² SA = 4(8)²**

1. Find the surface area of the sphere. Leave in terms of 𝜋. SA = 4r² SA = 4(8)² SA = 4(64) SA = 256 ft2

8
**2. The circumference of a rubber ball is 37. 68 cm**

2. The circumference of a rubber ball is cm. Find the surface area to the nearest square inch. Use 3.14 for 𝜋. (Find the radius first.) C = d SA = 4r² 37.68 = (3.14)d SA = 4(3.14)(6)² SA = 4(3.14)(36) 12 = d 6 = r SA = in2 SA ≈ 452 in2

9
**3. The surface area of a grapefruit is 314 square inches**

3. The surface area of a grapefruit is 314 square inches. Find the circumference of the grapefruit. Use 3.14 for 𝜋. (Find the radius first.) SA = 4r² C = d 314= 4(3.14)r² C = (3.14)(10) 314 = 12.56r² C = 31.4 in 25 = r² 5 = r 10 = d

10
Assignment: Worksheet H

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google